# Graphing Parametric Equations Exercises

### Example 1

Graph the function defined by the parametric equations , and .

### Example 2

Graph the function described by the given parametric equations.

*x*(*t*) =*t*,*y*(*t*) = cos*t*for -π≤*t*≤ π

### Example 3

Exercises. Graph the function described by the given parametric equations.

*x*(*t*) = 4 + 2*t*,*y*(*t*) = 1 +*t*

### Example 4

Exercises. Graph the function described by the given parametric equations.

*x*(*t*) = cos*t*,*y*(*t*) = sin*t*for -π ≤*t*≤ π

### Example 5

Gillian was asked to graph the function <*f*(*t*), *g*(*t*)> with *f*(*t*) and *g*(*t*) given by the following graphs:

She came up with this:

What did Gillian do wrong?

### Example 6

Graph the function < *f*(*t*), *g*(*t*)> where *x* = *f*(*t*) and *y* = *g*(*t*) are given by the graphs.

### Example 7

Graph the function < *f*(*t*), *g*(*t*)> where *x* = *f*(*t*) and *y* = *g*(*t*) are given by the graphs.

### Example 8

Graph the function < *f*(*t*), *g*(*t*)> where* x* = *f*(*t*) and *y* = *g*(*t*) are given by the graphs.

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